Julio and Ashley went to the drive-in theater. They paid an entry fee for the car and individual entry fees for themselves. Their total cost can be modeled by the expression 2.5x+10 Which of the following answer choices accurately interprets a part of the algebraic expression?

Question

A-Each individual entry fee was $10.00.
B-The entry fee for the car was $12.50.
C-The entry fee for the car was $10.00.
D-The entry fee for the car was $2.50.

Answer 1

The expression given is \(2.5x + 10\).

In this expression:

• \(2.5x\) represents the individual entry fees for Julio and Ashley. Since there are 2 people (Julio and Ashley), we can interpret \(x\) as the number of people (which would be 2), and therefore the individual entry fee is \(2.5\) per person.
• The \(10\) in the expression represents the entry fee for the car.

Since \(10\) is the entry fee for the car, and the problem states they paid an entry fee for the car and individual entry fees for themselves, we can conclude:

The entry fee for the car is \(10\).

Thus, the correct answer is:

C-The entry fee for the car was $10.00.